Solving Two-Step Inequalities

This video tutorial covers solving two-step inequalities, including an introduction to inequality symbols and the importance of flipping the inequality sign when multiplying or dividing by a negative number. It provides a step-by-step guide to solving inequalities, graphing them, and includes several example problems to illustrate the concepts. The tutorial emphasizes the difference between solving equations and inequalities, particularly in terms of the range of possible solutions.

What is an inequality in mathematics?

• A mathematical sentence that compares quantities.

• A mathematical sentence that involves addition and subtraction.

• A mathematical sentence that shows equality.

• A mathematical sentence that only has one solution.

Which of the following is NOT an inequality symbol?

• Less than or equal to

• Equal to

• Greater than

• Less than

When graphing inequalities, what must you remember to do when multiplying or dividing by a negative number?

• Keep the inequality sign the same.

• Subtract a negative sign from the result.

• Flip the inequality sign.

• Add a negative sign to the result.

Why do we flip the inequality sign when multiplying or dividing by a negative number?

• To simplify the equation.

• To make the inequality false.

• To keep the inequality true.

• To change the variable.

What is the first step in solving a two-step inequality?

• Multiply both sides by a number.

• Divide both sides by a number.

• Subtract a number from both sides.

• Add a number to both sides.

In the inequality 2x > -24, what is the solution for x?

• x > -12

• x < -12

• x = -12

• x ≥ -12

When solving the inequality -3x ≤ 27, what is the solution for x?

• x ≥ -9

• x < -9

• x ≤ -9

• x > -9

In the inequality f/2 < 12, what operation must be performed to isolate f?

• Add 2 to both sides.

• Subtract 2 from both sides.

• Multiply both sides by 2.

• Divide both sides by 2.

What is the solution to the inequality -7x + 20 > 6?

• x < 2

• x > 2

• x ≤ 2

• x ≥ 2

When graphing the solution to x < 24, what type of circle is used on the number line?

• Closed circle on 24

• Open circle on 24

• Open circle on 0

• Closed circle on 0